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A Kirillov model of a principal series representation of \(\text{GL}_2({\mathcal D})\) - MaRDI portal

A Kirillov model of a principal series representation of \(\text{GL}_2({\mathcal D})\) (Q1769142)

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scientific article; zbMATH DE number 2147085
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A Kirillov model of a principal series representation of \(\text{GL}_2({\mathcal D})\)
scientific article; zbMATH DE number 2147085

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    A Kirillov model of a principal series representation of \(\text{GL}_2({\mathcal D})\) (English)
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    18 March 2005
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    In this work a Kirillov model of a principal series representation \(V(\pi_1, \pi_2)\) of \(GL_2(D)\) is studied and it is proved that the defining infinite series of \(\zeta_\phi\) converges in a way different from that of Raghuram.
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    Kirillov model
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    irreducible representation
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